26010000 has 225 divisors, whose sum is σ = 96626101. Its totient is φ = 6528000.

The previous prime is 26009989. The next prime is 26010007. The reversal of 26010000 is 1062.

The square root of 26010000 is 5100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 12702096 + 13307904 = 3564^2 + 3648^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (26010007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1529992 + ... + 1530008.

Almost surely, 2^26010000 is an apocalyptic number.

26010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26010000 is the 5100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26010000

26010000 is an abundant number, since it is smaller than the sum of its proper divisors (70616101).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26010000 is a wasteful number, since it uses less digits than its factorization.

26010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The cubic root of 26010000 is about 296.2875826913.

Adding to 26010000 its reverse (1062), we get a palindrome (26011062).

The spelling of 26010000 in words is "twenty-six million, ten thousand".